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Probability, the word "group(s)" other cue words combinations of, the word "group(s)" if just 1 group, same as permutation ?, Probability includes Permutations, An arrangement of a group of things in which order does not matter notice the word "group(s)", Probability of an Event variations Odds in Favor, Odds Against, Probability includes Combinations, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> How many four-digit whole numbers can you write using the digits 1,2,3,4 if no digit appears more than once? </mtext> </mrow> </math> solve <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> </mtext> <mtext> 4 </mtext> <none/> </mmultiscripts> <mmultiscripts> <mtext> P </mtext> <mtext> 4 </mtext> <none/> </mmultiscripts> <mtext> = 4! = 4X3X2X1 </mtext> </mrow> </math>, Sometimes you don't need the whole thing: This year, 7 dogs are entered. In how many different ways can 1st, 2nd, and 3rd prize be awarded? solve <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> </mtext> <mtext> 7 </mtext> <none/> </mmultiscripts> <mmultiscripts> <mtext> P </mtext> <mtext> 3 </mtext> <none/> </mmultiscripts> <mtext> = 7X6X5 = 210 </mtext> </mrow> </math>, Permutations Principles Counting Principle: If there are m ways to do one thing and n ways to do another, then there are mXn ways to do both things., Probability of an Event variations Basic